45 / (5^2 / 5) + 100
You asked:
Evaluate the expression: \(\frac{45}{\frac{{5}^{2}}{5}} + 100\)
MathBot Answer:
\[\frac{45}{\frac{{5}^{2}}{5}} + 100 = 109\]
\[\begin{aligned}\frac{45}{\frac{{5}^{2}}{5}} + 100& = 45 \cdot \frac{1}{5^{2} \cdot \frac{1}{5}} + 100\\& = 45 \cdot \frac{1}{\frac{25}{5}} + 100\\& = \frac{45}{5} + 100\\& = 9 + 100\\& = 109\end{aligned}\]